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Finding the Fourth Proportional to 2,314.72, 3,193.68 and 1,487.20

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Solution

The fourth proportional to 2,314.72, 3,193.68 and 1,487.20 is: 2,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.72 : 3,193.68 = 1,487.20 : x
  2. Step 2: Convert to fraction form
    2,314.72/3,193.68 = 1,487.20/x
  3. Step 3: Cross multiply
    2,314.72x = 3,193.68 × 1,487.20
  4. Step 4: Simplify right side
    2,314.72x = 4,749,640.90
  5. Step 5: Solve for x
    x = 4,749,640.90/2,314.72
  6. Step 6: Final answer
    x = 2,051.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.